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Decide whether a conversion-rate drop is an anomaly or a changepoint

A checkout conversion rate has run at about 3.1 percent with a weekly pattern for a year. Your detector flags a drop to 2.6 percent on Tuesday. Two scenarios follow: (a) it goes back to 3.1 percent on Thursday; (b) it stays at about 2.6 percent for three weeks.

  1. How do an anomaly detector and a changepoint detector see each scenario?
  2. Which algorithms would you use for each, and with what settings?
  3. What should happen operationally in (a) and (b)? What mistakes happen if you treat (b) as (a), or the reverse?

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